Cognitive variables in series completion.

Holzman, Thomas G.; Pellegrino, James W.; Glaser, Robert

doi:10.1037/0022-0663.75.4.603

Cited by 95 publications

(87 citation statements)

References 20 publications

(28 reference statements)

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“…In existing formulations (Holzman et al, 1983;Kotovsky & Simon, 1973), no distinction is made between series such as "3 69_" and "25 8 _": presumably, the same rule is induced in both cases and, therefore, processing demands are equivalent. In contrast, we hypothesize that the two problems are solved quite differently.…”

mentioning

confidence: 99%

A cognitive analysis of number-series problems: Sources of individual differences in performance

LeFevre

Bisanz

1986

Mem Cogn

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Two experiments were conducted to identify the roles of three hypothesized procedures in the solution of simple number-series problems and to determine whether individual differences in these solution procedures are related to performance on a number-series subtest from a standardized test of intelligence. The three procedures are recognition of memorized series, calculation, and checking. Subjects verified whether number sequences formed rule-based series. True series included both memorized counting series (e.g., "5 10 15 20") and unfamiliar noncounting series (e.g., "1 4 7 10"). False series could not be described by simple rules. The results of Experiment 1 indicated that (1) counting series were verified more quickly than were noncounting series, and (2) partial counting information in false series facilitated rejection. In Experiment 2, reliable differences in recognition of memorized sequences and calculational efficiency were found between individuals who scored well on a standardized test of number-series completion and those who scored poorly. The results provide a basis for understanding how individual differences in knowledge influence performance on problems often used to assess inductive reasoning skill.

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confidence: 99%

A cognitive analysis of number-series problems: Sources of individual differences in performance

LeFevre

Bisanz

1986

Mem Cogn

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“…Studies indicate that four basic cognitive components are involved in solving number series completion problems [8,9]. The first component is the encoding of number series.…”

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confidence: 99%

Neural substrates of data-driven scientific discovery: An fMRI study during performance of number series completion task

Zhong

Liang

Qin

et al. 2011

Sci. China Life Sci.

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Although much has been known about how humans psychologically perform data-driven scientific discovery, less has been known about its brain mechanism. The number series completion is a typical data-driven scientific discovery task, and has been demonstrated to possess the priming effect, which is attributed to the regularity identification and its subsequent extrapolation. In order to reduce the heterogeneities and make the experimental task proper for a brain imaging study, the number magnitude and arithmetic operation involved in number series completion tasks are further restricted. Behavioral performance in Experiment 1 shows the reliable priming effect for targets as expected. Then, a factorial design (the priming effect: prime vs. target; the period length: simple vs. complex) of event-related functional magnetic resonance imaging (fMRI) is used in Experiment 2 to examine the neural basis of data-driven scientific discovery. The fMRI results reveal a double dissociation of the left DLPFC (dorsolateral prefrontal cortex) and the left APFC (anterior prefrontal cortex) between the simple (period length=1) and the complex (period length=2) number series completion task. The priming effect in the left DLPFC is more significant for the simple task than for the complex task, while the priming effect in the left APFC is more significant for the complex task than for the simple task. The reliable double dissociation may suggest the different roles of the left DLPFC and left APFC in data-driven scientific discovery. The left DLPFC (BA 46) may play a crucial role in rule identification, while the left APFC (BA 10) may be related to mental set maintenance needed during rule identification and extrapolation. dorsolateral prefrontal cortex (DLPFC), functional MRI, data-driven scientific discovery, number series completion Citation:Zhong N, Liang P P, Qin Y L, et al. Neural substrates of data-driven scientific discovery: An fMRI study during performance of number series completion task.

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“…Some forms, such as letters and numbers, have a fixed relationship to each other as they have a natural sequence, while others, such as geometric figures and colours do not. Series completion has long been the subject of research, and the processes involved have been described extensively (see Holzman, Pellegrino, & Glaser, 1983;Simon & Kotovsky, 1963;Sternberg, 1985).…”

Section: Inductive Reasoningmentioning

confidence: 99%

Process-Oriented Measurement Using Electronic Tangibles

Veerbeek¹,

Verhaegh²,

Elliott³

et al. 2017

JEL

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This study evaluated a new measure for analyzing the process of children’s problem solving in a series completion task. This measure focused on a process that we entitled the Grouping of Answer Pieces (GAP) that was employed to provide information on problem representation and restructuring. The task was conducted using an electronic tangible interface, to allow for both natural manipulation of physical materials by the children, and computer monitoring of the process. The task was administered to 88 primary school children from grade 2 (M=8.2 years, SD=0.50). GAP was a moderate predictor of accuracy on the series completion task. Averaged over multiple items, GAP, verbalizations and time measures were related to accuracy. On an item level, however, GAP was the only process measure related to item solving success, and this relationship was mediated by item difficulty. Further research is needed to investigate the precise relationship between problem solving and GAP.

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Cognitive variables in series completion.

Cited by 95 publications

References 20 publications

A cognitive analysis of number-series problems: Sources of individual differences in performance

A cognitive analysis of number-series problems: Sources of individual differences in performance

Neural substrates of data-driven scientific discovery: An fMRI study during performance of number series completion task

Process-Oriented Measurement Using Electronic Tangibles

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